Question

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

4 to the 10th over 5 to the 5th
4 to the 4th over 5
4 to the 21st over 5 to the 6th
12 to the 7th over 15 squared

Answer 1

multiply the exponents

for example, (2^3)^5 = 2^(3*5) = 2^15
why?
2^3 = 2*2*2
(2^3)^5 = 2*2*2 * 2*2*2 * 2*2*2 * 2*2*2 * 2*2*2

^ is just shorthand for ***...
Just as * is shorthand for +++...

2*3*4 = 2+2+2 + 2+2+2 + 2+2+2 + 2+2+2